3x^2-6x-3=12-6x

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Solution for 3x^2-6x-3=12-6x equation:


Simplifying
3x2 + -6x + -3 = 12 + -6x

Reorder the terms:
-3 + -6x + 3x2 = 12 + -6x

Add '6x' to each side of the equation.
-3 + -6x + 6x + 3x2 = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 0 + 3x2 = 12 + -6x + 6x
-3 + 3x2 = 12 + -6x + 6x

Combine like terms: -6x + 6x = 0
-3 + 3x2 = 12 + 0
-3 + 3x2 = 12

Solving
-3 + 3x2 = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '3' to each side of the equation.
-3 + 3 + 3x2 = 12 + 3

Combine like terms: -3 + 3 = 0
0 + 3x2 = 12 + 3
3x2 = 12 + 3

Combine like terms: 12 + 3 = 15
3x2 = 15

Divide each side by '3'.
x2 = 5

Simplifying
x2 = 5

Take the square root of each side:
x = {-2.236067978, 2.236067978}

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